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106214856 = 23311402329
BaseRepresentation
bin1100101010010…
…11010111001000
321101212021101120
412111023113020
5204142333411
614312315240
72426545206
oct625132710
9241767346
10106214856
1154a56880
122b6a2b20
131900b537
141016c076
1594d1106
hex654b5c8

106214856 has 32 divisors (see below), whose sum is σ = 289677600. Its totient is φ = 32186240.

The previous prime is 106214833. The next prime is 106214863. The reversal of 106214856 is 658412601.

It is a super-2 number, since 2×1062148562 = 22563191270201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200901 + ... + 201428.

It is an arithmetic number, because the mean of its divisors is an integer number (9052425).

Almost surely, 2106214856 is an apocalyptic number.

It is an amenable number.

106214856 is an abundant number, since it is smaller than the sum of its proper divisors (183462744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106214856 is a wasteful number, since it uses less digits than its factorization.

106214856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402349 (or 402345 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 106214856 is about 10306.0591886521. The cubic root of 106214856 is about 473.5818919795.

The spelling of 106214856 in words is "one hundred six million, two hundred fourteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 402329 804658 1206987 1609316 2413974 3218632 4425619 4827948 8851238 9655896 13276857 17702476 26553714 35404952 53107428 106214856